Finite-temperature transport in one-dimensional quantum lattice models
Over the last decade impressive progress has been made in the theoretical understanding
of transport properties of clean, one-dimensional quantum lattice systems. Many physically …
of transport properties of clean, one-dimensional quantum lattice systems. Many physically …
The kernel polynomial method
Efficient and stable algorithms for the calculation of spectral quantities and correlation
functions are some of the key tools in computational condensed-matter physics. In this paper …
functions are some of the key tools in computational condensed-matter physics. In this paper …
Quantum power method by a superposition of time-evolved states
We propose a quantum-classical hybrid algorithm of the power method, here dubbed as the
quantum power method, to evaluate H^ n| ψ⟩ with quantum computers, where n is a non …
quantum power method, to evaluate H^ n| ψ⟩ with quantum computers, where n is a non …
Predicting gibbs-state expectation values with pure thermal shadows
L Coopmans, Y Kikuchi, M Benedetti - PRX Quantum, 2023 - APS
The preparation and computation of many properties of quantum Gibbs states is essential for
algorithms such as quantum semidefinite programming and quantum Boltzmann machines …
algorithms such as quantum semidefinite programming and quantum Boltzmann machines …
Simulating hydrodynamics on noisy intermediate-scale quantum devices with random circuits
J Richter, A Pal - Physical Review Letters, 2021 - APS
In a recent milestone experiment, Google's processor Sycamore heralded the era of
“quantum supremacy” by sampling from the output of (pseudo-) random circuits. We show …
“quantum supremacy” by sampling from the output of (pseudo-) random circuits. We show …
Accuracy of the finite-temperature Lanczos method compared to simple typicality-based estimates
We study trace estimators for equilibrium thermodynamic observables that rely on the idea of
typicality and derivatives thereof such as the finite-temperature Lanczos method (FTLM). As …
typicality and derivatives thereof such as the finite-temperature Lanczos method (FTLM). As …
Quantum spin liquid at finite temperature: Proximate dynamics and persistent typicality
I Rousochatzakis, S Kourtis, J Knolle, R Moessner… - Physical Review B, 2019 - APS
Quantum spin liquids are long-range entangled states of matter with emergent gauge fields
and fractionalized excitations. While candidate materials, such as the Kitaev honeycomb …
and fractionalized excitations. While candidate materials, such as the Kitaev honeycomb …
Selected applications of typicality to real-time dynamics of quantum many-body systems
T Heitmann, J Richter, D Schubert… - … für Naturforschung A, 2020 - degruyter.com
Loosely speaking, the concept of quantum typicality refers to the fact that a single pure state
can imitate the full statistical ensemble. This fact has given rise to a rather simple but …
can imitate the full statistical ensemble. This fact has given rise to a rather simple but …
Combining dynamical quantum typicality and numerical linked cluster expansions
J Richter, R Steinigeweg - Physical Review B, 2019 - APS
We demonstrate that numerical linked cluster expansions (NLCE) yield a powerful approach
to calculate time-dependent correlation functions for quantum many-body systems in one …
to calculate time-dependent correlation functions for quantum many-body systems in one …
Typicality approach to the optical conductivity in thermal and many-body localized phases
We study the frequency dependence of the optical conductivity Re σ (ω) of the Heisenberg
spin-1 2 chain in the thermal and near the transition to the many-body localized phase …
spin-1 2 chain in the thermal and near the transition to the many-body localized phase …